37666681137107 has 32 divisors (see below), whose sum is σ = 44426775694080. Its totient is φ = 31560489924480.

The previous prime is 37666681137103. The next prime is 37666681137109. The reversal of 37666681137107 is 70173118666673.

It is a happy number.

It is not a de Polignac number, because 37666681137107 - 2² = 37666681137103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 37666681137107.

It is not an unprimeable number, because it can be changed into a prime (37666681137103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84508208 + ... + 84952754.

It is an arithmetic number, because the mean of its divisors is an integer number (1388336740440).

Almost surely, 2^{37666681137107} is an apocalyptic number.

37666681137107 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

37666681137107 is a deficient number, since it is larger than the sum of its proper divisors (6760094556973).

37666681137107 is a wasteful number, since it uses less digits than its factorization.

37666681137107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455571.

The product of its (nonzero) digits is 32006016, while the sum is 62.

The spelling of 37666681137107 in words is "thirty-seven trillion, six hundred sixty-six billion, six hundred eighty-one million, one hundred thirty-seven thousand, one hundred seven".